Question

Jordan takes 50% of the cherries from a bowl. then Mei takes 50%of the remaining cherries. Finally Greg takes 50 %of the remaining cherries. There are 3 cherries left. How many cherries were in the bowl before Jordan arrived

Answer 1

Answer:

24

Step-by-step explanation:

Let total cherries in a bowl=x

Jordan takes cherries=50% of x=$\frac{50}{100}x$

Remaining cherries=$x-\frac{50}{100}x=\frac{50}{100}x=\frac{x}{2}$

Mei takes cherries=50% of $\frac{50x}{100}=\frac{x}{4}$

Now, remaining cherries=$\frac{x}{2}-\frac{x}{4}=\frac{x}{4}$

Greg takes cherries=50% of$\frac{x}{4}=\frac{x}{8}$

Now, remaining cherries=$\frac{x}{4}-\frac{x}{8}=\frac{x}{8}$

Now,remaining cherries in a bowl=3

We have to find total cherries in a bowl before Jordan arrived.

According to question

$\frac{x}{8}=3$

$x=3\times 8=24$

Hence,  total cherries in a  bowl=24

Answer 2

So in the final smallest bowl when half are removed there are 3 so the total amount was double 3 which is 6 before greg removed some.
Mei had removed half of the cherries which left 6 cherries so the total amount before Mei removed half was 12.
Jordan took half of the cherries which left 12. If you follow the same logic you double 12 which makes....
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